Theorems · Definition · nonassociative algebras

LieAlgebra.IsSimple.casesOn

{R : Type u_1} →
  {L : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : LieRing L] →
        [inst_2 : LieAlgebra R L] →
          {motive : LieAlgebra.IsSimple R L → Sort u} →
            (t : LieAlgebra.IsSimple R L) →
              ((eq_bot_or_eq_top : ∀ (I : LieIdeal R L), I = ⊥ ∨ I = ⊤) → (non_abelian : ¬IsLieAbelian L) → motive ⋯) →
                motive t

Defined in

Mathlib.Algebra.Lie.Semisimple.Defs

Cited by

0 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebra